Question

The ultrasonic waves from a bat hit a mosquito flying at a distance '$x$' and come back to the bat after $1.8s$. If the speed of the sound is $336m{s}^{-1},$ calculate the distance '$x$' of the prey.

• A. $151.2m$
• B. $201.6m$
• C. $604.8m$
• D. $302.4m$

Answer 1

The correct option is D $302.4m$

Given:
Total time $t=1.8s.$
Speed of the sound $v=336m{s}^{-1}.$
Here $t$ is the total time taken for the sound to hit the target and come back to the source.
The distance ${}^{\prime }{x}^{\prime }$ of the target from the source is half of the total distance travelled by the sound wave which is ${}^{\prime }2x^{\prime }.$
Distance $x$ is given by
$x=\frac{v\times t}{2}$
Substituting values:
$x=\frac{v\times t}{2}=\frac{336\times 1.8}{2}$ = $\frac{604.8}{2}=302.4m$
Therefore, the distance of mosquito from the bat is $302.4m.$